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Finding the Fourth Proportional to 2,118.59, 3,178.39 and 657.75

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Solution

The fourth proportional to 2,118.59, 3,178.39 and 657.75 is: 986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.59 : 3,178.39 = 657.75 : x
  2. Step 2: Convert to fraction form
    2,118.59/3,178.39 = 657.75/x
  3. Step 3: Cross multiply
    2,118.59x = 3,178.39 × 657.75
  4. Step 4: Simplify right side
    2,118.59x = 2,090,587.67
  5. Step 5: Solve for x
    x = 2,090,587.67/2,118.59
  6. Step 6: Final answer
    x = 986.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.